A Slip Gradient Plasticity Model Incorporating a Diffuse Interface Grain Boundary

  • Schneider, Eike Anton (Karlsruhe Institute of Technology (KIT))
  • Schöller, Lukas (Karlsruhe Institute of Technology (KIT))
  • Kannenberg, Thea (University of Applied Sciences Karlsruhe)
  • Schneider, Daniel (Karlsruhe Institute of Technology)
  • Prahs, Andreas (Karlsruhe Institute of Technology (KIT))
  • Nestler, Britta (Karlsruhe Institute of Technology (KIT))

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The phase-field method enables efficient numerical modelling of microstructural evolution in polycrystalline systems. Given that plastic deformation plays an important role in a wide range of these processes, the coupling of phase-field models with crystal plasticity formulations is strongly justified [1]. However, classical plasticity models cannot capture grain boundary effects such as slip transmission and obstruction. To account for this, gradient plasticity models can be used. Based on an approach for deriving phase field models starting from an integral form of the dissipation inequality for a scalar-extended continuum [2, 3], a model is presented that incorporates single-slip gradient plasticity and grain boundary interactions in a binary diffuse interface. The model is verified against analytical sharp interface solutions and the interaction of different slip system and grain boundary orientations is investigated. [1] Kannenberg T., Schöller L., Prahs A., Schneider D., Nestler B., Computational Mechanics, Vol. 74.1, pp. 67-84, 2024. [2] Prahs A., B¨ohlke T., Continuum Mechanics and Thermodynamics, Vol. 32.5, pp. 1417-1434, 2020 [3] Prahs A., Schneider D., Nestler B., Continuum Mechanics and Thermodynamics, Vol. 37.4, pp. 55, 2025